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If $(x + 1)$ is a factor of $p (x) = 2 x^{3} + a x^{2} + 2 x - 1$ , find a.

Class 9Factor Theorem and FactorisationPolynomials

A4
B10
C6
D5

Step-by-Step Solution

p (- 1) = 0 : 2 (- 1)^{3} + a (- 1)^{2} + 2 (- 1) - 1 = - 2 + a - 2 - 1 = a - 5 = 0, so a = 5

.

Answer: D) 5

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